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Contenido archivado el 2024-05-15

Quantum field theory of ultracold atoms in optical lattices

Objetivo

At the time when the first experiments with degenerate biosonic gases were rewarded with the 2001 Nobel Prize, a new breakthrough was reported - the realization of a quantum phase transition in a gas of ultra cold atoms by the Munich group headed by T. Haensch and I.Bloch. This successful demonstration heralds the beginning of studies of strongly correlated bosonic gases. One of the main aspects of the Munich experiment was the principal role of the time-dependent evolution of the system. On the theoretical side, there exists an approach based on the Bose-Hubbard model. However, it is mean-field in nature and its dynamical variant is rather underdeveloped. The main goal of the project is to work out a time-dependent description of a system of ultra cold atoms placed in an optical lattice that would enable direct comparison of theoretical predictions with experimental results. We intend to employ the Bogoliubov approach to describe the super fluid phase and a strong-coupling limit of the Bose-Hubbard model as a description of the Mott-insulating phase. We also plan to investigate more general approaches based on phase-space methods, lattice quantum field theory, and strong-coupling field theories. Our approach should be able to describe quantum correlations in the system and a number of problems of direct experimental relevance, including the operation of matter wave interferometers based on number squeezed states in optical lattices as well as gates for quantum computation. The overlap of applicant's previous experience with the expertise area of Professor Burnett's group designates the chosen host institution as a perfect place for the applicant's professional development. An active collaboration with an experimental group of Professor Christopher Foot and with the members of the Centre for Quantum Computation based in the same department will be also extremely valuable. Moreover, Professor William Phillips, the 1997Nobel laureate, will hold a visiting professorship at Oxford with a planned focus on the topic of optical lattices. The wealth of opportunities present at the host institution will most certainly have a profound impact on the applicant 's professional development. Having in mind the approaching full inclusion of Poland in the European Union, the applicant's research stay at the host institution may lead to a lasting and beneficial collaboration, contributing to the process of incorporation of new Member states in the European structures.

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Coordinador

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Aportación de la UE
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Dirección
Parks Road
OX1 3PU OXFORD
Reino Unido

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